| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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squaring |
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factoring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for b:
-7b - 6 > 4 + 4b
| b > \(\frac{5}{8}\) | |
| b > -3 | |
| b > \(\frac{1}{2}\) | |
| b > -\(\frac{10}{11}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-7b - 6 > 4 + 4b
-7b > 4 + 4b + 6
-7b - 4b > 4 + 6
-11b > 10
b > \( \frac{10}{-11} \)
b > -\(\frac{10}{11}\)
If a = c = 2, b = d = 3, and the blue angle = 71°, what is the area of this parallelogram?
| 6 | |
| 56 | |
| 24 | |
| 42 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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problem |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Factor y2 + 5y + 4
| (y + 1)(y - 4) | |
| (y - 1)(y - 4) | |
| (y + 1)(y + 4) | |
| (y - 1)(y + 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 4 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are 1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 5y + 4
y2 + (1 + 4)y + (1 x 4)
(y + 1)(y + 4)